In this paper, the hypothesis that Developmental Dyscalculia (DD) is a characteristic of Down syndrome (DS) is proposed. Implications for the hypothesis are addressed: If it were to be confirmed that DS implies DD, what would be the consequences for the mathematics education of learners with DS? The use of prosthetic devices to overcome the…

"Report of a Workshop on the Scope and Nature of Computational Thinking" presents a number of perspectives on the definition and applicability of computational thinking. For example, one idea expressed during the workshop is that computational thinking is a fundamental analytical skill that everyone can use to help solve problems, design…

This paper focuses on using technology to support mathematics instruction. Technologies such as computers and calculators are widely used in the teaching of mathematics. The educators advocate the use of these tools to reduce tiresome computations and tasks so that class time can be more effectively used for learning mathematics. The purpose of…

Students in three mathematics classes were assessed on two aptitudes, field independence and general reasoning, and randomly assigned to either an expository or a discovery treatment. The expository treatment used a deductive sequence of instruction and provided maximal guidance for the students. The discovery group used an inductive sequence with…

Discussed are the difficulties that entering college freshmen seem to have with mathematics, particularly with fractional forms. A success-oriented program is suggested in which all students are successful. To obtain this goal, a number of alternative routes are discussed such as presenting decimals before fractional forms and the use of the…

Multi-line-multi-operation calculators such as the TI-80 provide eighth-grade prealgebra and algebra students with significantly better computational tools for basic order-of-operation problems involving integers and signed rational numbers than do calculators offering only last-entry-or-result displays. Effects are more apparent for weaker…

Three preliminary studies and one exploratory main study investigated the effect of calculator use on elementary, middle, and secondary school students' solution methods on routine mathematical problems. Items were identified for which a longer and a shorter solution method existed. Half of the sample worked these using a calculator and half used…

Three different methods of teaching fraction computation were compared using community college student scores on measures of fraction computation, fraction understanding, and attitude towards mathematics. One method used conventional algorithms; the second, a control for the effect of using a calculator, used conventional algorithms and…

Presented is a budgetary decision model developed to aid the executive officers in arriving at tentative decisions on enrollment, tuition rates, increased compensation, and level of staffing as they affect the total institutional budget. The model utilizes a desk-top programmable calculator (in this case, a Burroughs Model C 3660). The model…

This paper has two goals. The first is to present a model of the acquisition of a concept image of function. Theories describing the objectification of function are outlined through two different but related paths, and both stem from the conception of function as a process. The first path to objectification involves the generalization of the…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA) in San Francisco, discusses the effects of calculator availability on the elementary school mathematics curriculum. The rationale for a shift from a computationally based curriculum to a conceptually oriented curriculum utilizing the calculator as an…

In this paper we report an analysis of a teaching sequence in which Grade 11 students were asked to produce some graphs corresponding to the relationship between time and distance of a cylinder moving up and down an inclined plane. The students were also asked to carry out the experience using a TI 83+ graphic calculator equipped with a sensor,…

More sophisticated graphing calculators available for college students can be incorporated into college algebra classes to result a higher student achievement. For this purpose, in this study 117 college students were randomly assigned into either experimental groups where students were allowed to the use of graphing calculators or control groups…

The purpose of this study was to examine the relationships between the use of technology and student computation and geometry achievement. The study also examined possible relationships between achievement differences related to demographic and background characteristics of the students and the use of technology. The sample of 956 students in…

Five regional conferences designed for elementary supervisors and elementary mathematics educators were held in Ohio. The purposes of the conferences were: (1) to provide direction on the effective use of the calculator in the elementary school classroom; (2) to re-emphasize the importance of problem solving as a major curricular outcome; (3) to…